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Finding the Fourth Proportional to 211,211.14, 316,029.27 and 208,849.06

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Solution

The fourth proportional to 211,211.14, 316,029.27 and 208,849.06 is: 312,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,211.14 : 316,029.27 = 208,849.06 : x
  2. Step 2: Convert to fraction form
    211,211.14/316,029.27 = 208,849.06/x
  3. Step 3: Cross multiply
    211,211.14x = 316,029.27 × 208,849.06
  4. Step 4: Simplify right side
    211,211.14x = 66,002,415,971.99
  5. Step 5: Solve for x
    x = 66,002,415,971.99/211,211.14
  6. Step 6: Final answer
    x = 312,494.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.